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Simplifying 65n2 + 70n = 0 Reorder the terms: 70n + 65n2 = 0 Solving 70n + 65n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '5n'. 5n(14 + 13n) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(14 + 13n)' equal to zero and attempt to solve: Simplifying 14 + 13n = 0 Solving 14 + 13n = 0 Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 13n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 13n = 0 + -14 13n = 0 + -14 Combine like terms: 0 + -14 = -14 13n = -14 Divide each side by '13'. n = -1.076923077 Simplifying n = -1.076923077Solution
n = {0, -1.076923077}
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